Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)= 
/2 = 1/2
Sing(45) =
/2 =/2
Sin(60)=
/2 = /2
Sin(90)=
/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) = /2 = 1/2
Cos(45) = /2 =/2
Cos(30) = /2 =/2
Cos(0) = /2 = 1
Josh's monthly fuel expenses are $1,050.
<h3><u>Prices</u></h3>
Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:
- 27 = 100
- 33 = X
- 3300 / 27 = X
- 122.22 = X
- 122.22 = 100
- 100 = X
- 10000 / 122.22 = X
- 81.81 = X
- (7700 / 33) x 4.5 = X
- 233.33 x 4.5 = X
- 1050 = X
Therefore, Josh's monthly fuel expenses are $1,050.
Learn more about prices in brainly.com/question/18117910
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Answer:
y - 2 = - 5(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (7, 2) , thus
y - 2 = - 5(x - 7) ← equation in point- slope form
Answer:
16
Step-by-step explanation:
1400/85 = 16.47
largest integer below that is 16
Answer:
vertex = 
Intercepts for x = 
intercepts for y = (0,-6)
